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Finding the Third Proportional to 40,426 and 94,430

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Solution

The third proportional to 40,426 and 94,430 is: 220,576.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,426 : 94,430 = 94,430 : x
  2. Step 2: Convert to fraction form
    40,426/94,430 = 94,430/x
  3. Step 3: Cross multiply
    40,426x = 94,430 × 94,430
  4. Step 4: Simplify right side
    40,426x = 8,917,024,900
  5. Step 5: Solve for x
    x = 8,917,024,900/40,426
  6. Step 6: Final answer
    x = 220,576.48

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.